You didn’t answer the question. What was your method to confirm smurfs ?
Pro tip for your source then :
- If P = 1/x is the probability for a regular player to meet a smurf
- Then the probability of two smurfs meeting isn’t P, but P x P, in other words (1/x) x (1/x)
What you did there with the highly factual “I know 'cause I’m higher level” completely non standardized biased method, wasn’t in fact evaluating the probability of playing a smurf, but the probability of a smurf playing another smurf.
Which means the probability for a regular player of meeting a smurf is much higher. If we take your highly non biased standardized master statistics of 1/20, then if
- 1/20 = (1/x) x (1/x)
- then 1/20 = 1/x²
- then x = √20 = 4,47
Which means P = 1/4.47 = 0.22 = 22%
Which is even more than what I said.
As for having the sample randomized, it is as I don’t choose the opponents I am matched against. Plus my method to confirm smurfs is replicable, and objective. If you had to make constructive criticism, it would rather be on the limits of the studied MMR.
Now if you want to submit a new and improved double blind randomized smurf trial on a population sized sample, you’re welcome to post it here. But currently, I am under the impression that your method is even less commendable than mine.